My recommendation would be to stay with the CODA preamp and upgrade the DAC. Your amplifier has 10k ohm input impedance which is pretty low. Tube preamps typically have high output impedance around 600ohm. Even though it meets the 1:10 ratio it is still quiet low as impedance fluctuates. It’s possible you will have a slight reduction in bass output. Trying a tube DAC into the 07 preamp will be no issues with the preamp’s 20k input impedance.
Going preamp-less will present the same issue with a tube DAC direct into amp.
Talk to CODA to confirm as I’m just speculating based on typical specs of tube preamps and DACs.